Fourier Series Analysis And Applications
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Fourier Series Analysis And Applications
Scientific Essay from the year 2012 in the subject Mathematics - Analysis, grade: A, , language: English, abstract: Fourier Series, Fourier Analysis, Euler’s Formula for Coefficients, Periodic Functions, Trigonometric Series, Even Function, Odd Function, Properties of Functions, Fourier’s Cosine And Sine Series, Half Range Fourier Sine and Cosine Series, Examples, Complex form, Riemann-Zeta Function, Mathematical analysis, Perseval’s Formula, Piecewise smooth function, Bessel's inequality, Riemann lemma, Perseval’s Theorem, Propositions and Remarks, Gibbs Phenomenon, Physical Applications, Heat distribution in a metal plate, Square wave, Sawtooth wave, Full an Half wave Rectifier, Advantages and Conclusion.
Applied Nonlinear Time Series Analysis: Applications In Physics, Physiology And Finance
Nonlinear time series methods have developed rapidly over a quarter of a century and have reached an advanced state of maturity during the last decade. Implementations of these methods for experimental data are now widely accepted and fairly routine; however, genuinely useful applications remain rare. This book focuses on the practice of applying these methods to solve real problems.To illustrate the usefulness of these methods, a wide variety of physical and physiological systems are considered. The technical tools utilized in this book fall into three distinct, but interconnected areas: quantitative measures of nonlinear dynamics, Monte-Carlo statistical hypothesis testing, and nonlinear modeling. Ten highly detailed applications serve as case studies of fruitful applications and illustrate the mathematical techniques described in the text.
DIFFERENTIAL EQUATIONS
Author: Dr. Mahadev Biradar
language: en
Publisher: Shineeks Publishers
Release Date: 2024-10-15
Differential Equations: Methods & Applications offers a comprehensive exploration of differential equations, essential tools for modeling dynamic systems in science and engineering. The book begins with foundational concepts and definitions, progressing through various techniques for solving first-order and second-order linear differential equations, including methods such as Laplace transforms and systems of differential equations. Numerical methods are also highlighted, alongside partial differential equations, emphasizing their applications in physics and engineering. The book concludes with discussions on advanced topics like boundary value problems and Sturm-Liouville theory. Designed for students and professionals, this text combines theory and practical applications, equipping readers with the necessary skills to tackle real-world problems involving differential equations.